Answer:
x = 20 degrees and y = 70 degrees
Step-by-step explanation:
The first thing you do is work out the angle next to 180 degrees
180 - 40 = 140
Bottom angles in an isosceles triangle are equal.
180 - 140 = 40
40/2 = 20
so x = 20 degrees
The next thing is right angle - 20 = 70 degrees
Angles in a triangle add up to 180 degrees
70 + 40 = 110
180 - 110 = 70
so y = 70 degrees
<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.
The answer would be -74,137,498.67 when you follow the order of operations. (PEMDAS).
The answer to the problem is as follows:
<span>The orthocenter is where the altitudes of a triangle are concurrent (where they intersect each other). On your graph, that would be (-1,0)
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
Negative, because it’s -18 degrees not 18 degrees
